Answer:
The measure of the indicated angle is 72°
Step-by-step explanation:
If two parallel lines intersected by a transversal, then
- There are pairs of corresponding angles equal in measures
- There are pairs of alternate interior angles equal in measures
- There are pairs of alternate exterior angles equal in measures
- There are pairs of adjacent interior angles that are supplementary
In the given figure
∵ There are two parallel lines intersected by a transversal
∵ The angle of measure 108° and the indicated angle are adjacent
interior angles
∴ They are supplementary
∵ The sum of the measures of supplementary angles is 180°
∴ 108 + indicated angle = 180
→ Subtract 108 from both sides
∴ The measure of the indicated angle = 72°
